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4 years ago

Write an equation of the line below.

Mathematics

1 answer:

Dafna11 [192]4 years ago

3 0

Answer:

$\large\boxed{y=4x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of aline:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfraxc{y_2-y_1}{x_2-x_1}$

From the graph we have the points:

(-2, -5)

y-intercept (0, 3) → b = 3

Calculate the slope:

$m=\dfrac{3-(-5)}{0-(-2)}=\dfrac{8}{2}=4$

Put the value of the slope and the y-intercept to the equation of a line:

$y=4x+3$

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Please answer thanks

Gennadij [26K]

Answer:

∠XZY

Step-by-step explanation:

This angle is the corresponding angle. Remember that the order in which the angle's are laid out is important. If you want an angle corresponding to ∠C, then the format for ∠C is, ∠ACB. So, the format needed for the other triangle is ∠XZY since ∠Z is the corresponding angle to it.

4 0

3 years ago

Read 2 more answers

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his

musickatia [10]

Step-by-step explanation:

<h3>Given Information :</h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
Remaining money = $759

<h3>To calculate :</h3>

His monthly salary.

<h3>Calculation :</h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

$\longrightarrow\underline{\boxed{\bf {1449= x}}} \\$

Therefore, his monthly income is $1449.

7 0

3 years ago

A new neighborhood is being built. On one street, there are 4.16 acres available. If the builder wants to divide up the land so

choli [55]

I think the answer is 1.9

3 0

3 years ago

Select all statements that are true about the linear equation.

AveGali [126]

For point (1, 1): 1 = 4(1) - 3 = 4 - 3 = 1.
Therefore, the point (1, 1) is on the graph of the equation.

Since the point (0, −3) is a solution to the equation, it is on the graph of the equation.

The graph of the equation is the set of all points that are solutions to the equation.

8 0

3 years ago

Read 2 more answers

What is the surface area of the box if it is scaled up by a factor of 10? Boxes Dimensions 7in Height 6in Length 2in Width

VladimirAG [237]

Answer:

13,600 $in^{2}$

Step-by-step explanation:

(h = 7, l = 6, w = 2) 10

70, 60, 20

2(h × w) + 2(h × l) + 2(w × l)

= 2(70 × 20) + 2(70 × 60) + 2(20 × 60)

= 2(1400) + 2(4200) + 2(1200)

= 2800 + 8400 + 2400

= 13,600

4 0

4 years ago